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Popular Calculus >

f(x)=tan(x)-1

Solution

f (x) = tan (x) - 1

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{π}{4} + πn, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = \frac{π}{2} + πn

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (x) - 1 : π

Domain of

tan (x) - 1 : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

tan (x) - 1 : - \infty < f (x) < \infty

Axis interception points of

tan (x) - 1 :

X Intercepts

: (\frac{π}{4} + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

tan (x) - 1 :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

tan (x) - 1 :

None

Graph

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